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Summer school II: Summer school on singular Kählerian metrics and Hermitian geometry

08/11/2025 - 08/15/2025
Rényi Institute, main lecture hall

Description

The  "Summer school on singular Kählerian metrics and Hermitian geometry" will be held between 11-15 August 2025, at the main lecture hall of the Rényi Institute (Budapest), as part of the thematic semester Complex analysis and Geometry (August-December 2025) hosted by the Erdős center. Advanced PhD students , postdocs, and junior researchers working in complex geometry are encouraged to apply. 
 
During this one week summer school, Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry. 
 
MINICOURSES

Daniele Angella: Cohomological properties and Hermitian metrics of complex non-Kähler manifolds

Abstract:  the first lectures will provide a survey of the cohomological properties and topological aspects of complex manifolds, as well as canonical metrics on complex manifolds. We will then focus on some analytic problems concerning the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, the convergence of the Chern-Ricci flow on compact complex surfaces, and the asymptotic behavior of Monge-Ampère volumes of Hermitian metrics in the ddc-class.

Hans-Joachim Hein: TBA

REGISTRATION
Link to the registration page:

https://invite.ventla.io/erdos-center/summerschoolii:singularkahlerianmetrics

Registration is open until: June 15, 2025

Registering does not mean automatic acceptance to the school. After registration, we will notify you within two weeks whether your application has been accepted. The sooner you register, the better. Please note that applications for financial support for accommodation are closed much earlier - see below. In the registration you  should provide a url link with  your cv including your list of publication (in case this is problematic, send the file directly to complex.geometry@renyi.hu, with the subject "summer school singular"). Applicants should also arrange for a short letter of recommendation to be sent to the email address complex.geometry@renyi.hu by a faculty member, preferably by the advisor/mentor. In your registration you can indicate that you are applying for financial support for accommodation.  The school takes place during the top touristic season in Budapest, so accommodation prices can be expected to increase dramatically with time.

Pending support from the NSF, we expect to partially reimburse travel costs of participants from the US.

ACCOMMODATION

Limited financial support for accommodation is available for students and postdocs. Accommodation is provided in double or triple rooms (i.e. you must share your room with other participant(s) of the school).

Deadline for applications for financial support: April 30, 2025

Please note that those who are supported are expected to attend the whole event. Accommodation is normally supported for 6 nights (Sunday to Friday) at most. If you don't need financial support, but you would like our administration to help you with booking (at possible discounted prices), please write to the secretary of the Erdős center: Mrs. Ildikó Bogáti: bogati@renyi.hu

LOCAL EXPENSES

Apart from the above support in accommodation, we cannot cover local expenses.

IMPORTANT INFORMATION

The conference organizers do not authorize any external subjects to arrange or propose accommodation for the participants. If you receive e-mails from travel or housing agencies, etc., containing booking offers and requests for sending your personal data or advance payment, you should treat them as scams.

All official communications will only come from the Erdős Center secretary or directly from the organizers. Those who requested financial support for the accommodation will get the details directly from the secretary of the Erdős Center.

Venue:  Main Lecture Hall, Rényi Institute

https://maps.app.goo.gl/RxdVNyhTAYXbzS2V8

The following link gives practical information (e.g. local traveling):

https://erdoscenter.renyi.hu/practicalities
 

Organizers

Tamás Darvas (University of Maryland)
László Lempert (Purdue University)
Gábor Székelyhidi (Northwestern University)
Róbert Szőke (Eötvös L. University-Rényi Institute)
Adriano Tomassini (Università di Parma)

Invited Speakers

Daniele Angella (Università di Firenze)
Hans-Joachim Hein (Universität Münster)

Participants